2 citations · 2 across the 9 of their papers we have counts for
4 papers · 1 filter
Geometric Methods for Stochastic Dynamical Systems
Jinqiao Duan, Ting Gao, Qiao Huang +1
Geometric methods are indispensable for analyzing, predicting, and mitigating the complex behaviors inherent in nonlinear systems. In this regime, the most probable transition path…
Critical Transitions in Interacting Particle Systems: An Onsager-Machlup Action Functional Framework
Jianyu Chen, Ting Gao, Galina Strelkova +1
This paper establishes an indirect approximation theorem for the most probable transition pathway of a stochastic interacting particle system in the mean-field framework. This pape…
Adaptive control for multi-scale stochastic dynamical systems with stochastic next generation reservoir computing
Jiani Cheng, Ting Gao, Jinqiao Duan
The rapid advancement of neuroscience and machine learning has established data-driven stochastic dynamical system modeling as a powerful tool for understanding and controlling hig…
Action Functional as an Early Warning Indicator in the Space of Probability Measures via Schrödinger Bridge
Peng Zhang, Ting Gao, Jin Guo +1
Critical transitions and tipping phenomena between two meta-stable states in stochastic dynamical systems are a significant scientific issue. In this work, we expand the methodolog…